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Dvinal [7]
3 years ago
8

Please HELP

Mathematics
1 answer:
eduard3 years ago
7 0

Answer:

Let B = (x, y)

Given A = (8, 9)

distance = \sqrt{(x_1 - x_2)^2 + (y_1-y_2)^2} \\\\10 = \sqrt{(x_1 - 8)^2 + (y_1-9)^2}

option 3

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Find the average rate of change of g(x) = 1x3 + 2 from x =<br> 1 to x = 4
Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

Explanation:

The

average rate of change

of g(x) over an interval between 2 points (a ,g(a)) and (b ,g(b) is the slope of the

secant line

connecting the 2 points.

To calculate the average rate of change between the 2 points use.

∣

∣

∣

∣

∣

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

a

a

g

(

b

)

−

g

(

a

)

b

−

a

a

a

∣

∣

∣

−−−−−−−−−−−−−−−

g

(

6

)

=

6

2

−

6

+

3

=

33

and

g

(

4

)

=

4

2

−

4

+

3

=

15

Thus the average rate of change between (4 ,15) and (6 ,33) is

33

−

15

6

−

4

=

18

2

=

9

This means that the average of all the slopes of lines tangent to the graph of g(x) between (4 ,15) and (6 ,33) is 9

3 0
3 years ago
PLEASE HELP! A positive number is 1/3 of another number. The sum of the numbers is five less than the square of the larger numbe
antoniya [11.8K]

Answer: The numbers are 1 and 3.

Step-by-step explanation:

Let x = smaller number , y= larger number.

As per given,

x=\dfrac{y}{3}   ...(i)

x+y=y^2-5       ...(ii)

Put value of x from (i) in (ii)

\dfrac{y}{3}+y=y^2-5\\\\\Rightarrow\ \dfrac43y=y^2-5\\\\\Rightarrow\ 3y^2-4y-15=0\\\\\Rightarrow\ 3y^2-9y+5y-15=0\\\\\Rightarrow\ 3y(y-3)+5(y-3)=0\\\\\Rightarrow\ (y-3)(3y+5)=0\\\\\Rightarrow\ y=3 \ \ or\ y=\dfrac{-5}{3}

Since numbers are positive , so y=3 is correct.

And x will be 1  [from (i)]

Hence, the numbers are 1 and 3.

7 0
2 years ago
Mike is reserving a room in frances, which uses euros. The room charge is 75 euros. If the conversion rate was 1 euro equals $1.
rusak2 [61]
To convert the euros into dollars simply multiply 75x1.29.
8 0
3 years ago
Number Line<br> B is between A and C. AB= 12 and BC= 17. what is the length of AC?
igor_vitrenko [27]

Answer:

29

Step-by-step explanation:

AB+BC=AC

12+17=29=AC

5 0
3 years ago
Will give brainliest PLEASE HELP!!! :D
marshall27 [118]

Answer:

a

Step-by-step explanation:

hope this helps

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5 0
3 years ago
Read 2 more answers
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